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Simplifying 5b + -4(b + -9) = 4 + 2b Reorder the terms: 5b + -4(-9 + b) = 4 + 2b 5b + (-9 * -4 + b * -4) = 4 + 2b 5b + (36 + -4b) = 4 + 2b Reorder the terms: 36 + 5b + -4b = 4 + 2b Combine like terms: 5b + -4b = 1b 36 + 1b = 4 + 2b Solving 36 + 1b = 4 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 36 + 1b + -2b = 4 + 2b + -2b Combine like terms: 1b + -2b = -1b 36 + -1b = 4 + 2b + -2b Combine like terms: 2b + -2b = 0 36 + -1b = 4 + 0 36 + -1b = 4 Add '-36' to each side of the equation. 36 + -36 + -1b = 4 + -36 Combine like terms: 36 + -36 = 0 0 + -1b = 4 + -36 -1b = 4 + -36 Combine like terms: 4 + -36 = -32 -1b = -32 Divide each side by '-1'. b = 32 Simplifying b = 32
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